Capgemini Company Numerical Ability Ratio and Proportion

In a bag, there are a certain number of toy-blocks with alphabets W, X, Y and Z written on them. The ratio of blocks W:X:Y:Z is in the ratio 4:7:3:1. If the number of W blocks is 50 more than the number of Y blocks, what is the number of Z blocks?
(a)120 (b)350 (c)240 (d)210

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Number of Z blocks are 50 only but it is not present in the options.
solution:
let x be the common factor.
then the no of blocks become 4x,7x,3x and x respectively.
given 4x=50+3x
x=50.
Number of blocks are 4x=4(50)=200 W blocks
7x=7(50)=350 X blocks
3x=3(50) = 150 Y blocks
1x = 1(50)=50 Z blocks
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